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Finding the Third Proportional to 32,546 and 49,179

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Solution

The third proportional to 32,546 and 49,179 is: 74,312.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,546 : 49,179 = 49,179 : x
  2. Step 2: Convert to fraction form
    32,546/49,179 = 49,179/x
  3. Step 3: Cross multiply
    32,546x = 49,179 × 49,179
  4. Step 4: Simplify right side
    32,546x = 2,418,574,041
  5. Step 5: Solve for x
    x = 2,418,574,041/32,546
  6. Step 6: Final answer
    x = 74,312.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.